Monogenic functions in commutative algebras associated with classical equations of mathematical physics
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Publication:2011290
DOI10.1007/s10958-019-04488-3zbMath1433.30119OpenAlexW2971097271WikidataQ127315420 ScholiaQ127315420MaRDI QIDQ2011290
Publication date: 6 December 2019
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/169423
Functions of hypercomplex variables and generalized variables (30G35) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Higher-order elliptic equations (35J30)
Related Items (3)
G-monogenic mappings in a three-dimensional noncommutative algebra ⋮ On solutions of PDEs by using algebras ⋮ An analog of the Menchov-Trokhimchuk theorem for monogenic functions in a three-dimensional commutative algebra
Cites Work
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- Curvilinear integral theorems for monogenic functions in commutative associative algebras
- On the logarithmic residues of monogenic functions in a three-dimensional harmonic algebra with two-dimensional radical
- Reduction of a Schwartz-type boundary value problem for biharmonic monogenic functions to Fredholm integral equations
- Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
- On one class of quaternionic mappings
- Constructive description of monogenic functions in a finite-dimensional commutative associative algebra
- Biharmonic bases in algebras of the second rank
- The representation of harmonic mappings by monogenic functions
- On monogenic mappings of a quaternionic variable
- On the Cauchy theorem for hyperholomorphic functions of spatial variable
- Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
- Potential fields with axial symmetry and algebras of monogenic functions of a vector variable. I
- On monogenic functions defined in different commutative algebras
- An extension of monogenic functions and spatial potentials
- A Schwartz-type boundary value problem in a biharmonic plane
- Generalized integral theorems for quaternionic \(G\)-monogenic mappings
- Schwartz-type boundary value problems for monogenic functions in a biharmonic algebra
- Constructive description of monogenic functions in a three-dimensional harmonic algebra with one-dimensional radical
- On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical
- Erlangen Program at Large: An Overview
- Commutative Algebras Associated with Classic Equations of Mathematical Physics
- Basic Properties of Monogenic Functions in a Biharmonic Plane
- Bicomplex Holomorphic Functions
- Integral representations of generalized axially symmetric potentials in a simply connected domain
- Monogenic functions in a biharmonic algebra
- Constructive description of monogenic functions in a harmonic algebra of the third rank
- Cauchy theorem for a surface integral in commutative algebras
- On the Domain of Regularity of Generalized Axially Symmetric Potentials
- Monogenic functions in finite-dimensional commutative associative algebras
- Modified quaternionic analysis in
- Quaternionic analysis
- Algebras of Functionally Invariant Solutions of the Three-Dimensional Laplace Equation
- Integral theorems for the quaternionic G-monogenic mappings
- $\mathbb{B}$-valued monogenic functions and their applications to boundary value problems in displacements of 2-D Elasticity
- Beiträge zur funktionentheorie in hyperkomplexen Systemen I
- Integral theorems in a commutative three-dimensional harmonic algebra
- Про моногенні функції на розширеннях комутативної алгебри
- Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras
- On logarithmic residue of monogenic functions in a three-dimensional commutative algebra with one-dimensional radical
- Application of an Algebraic Technique to the Solution of Laplace’s Equation in Three Dimensions
- Monogenic functions in the biharmonic boundary value problem
- A function‐theoretic approach to elliptic systems of equations in two variables
- The Theory of Analytic Functions in Normed Abelian Vector Rings
- A Theory of Analytic Functions in Banach Algebras
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